Answer:
1 day: 4480
2 days: 8960
3 days: 13440
[tex]f^{-1}(x) = \sqrt{\frac{x -4}{4}}[/tex] ---- function inverse
Step-by-step explanation:
Given
[tex]f(x) = 70 \cdot 64x[/tex]
Solving (a): The amount present after 1 day.
Here, [tex]x =1[/tex]
So:
[tex]f(1) = 70 \cdot 64*1= 4480[/tex]
Solving (b): The amount present after 2 days.
Here, [tex]x =2[/tex]
So:
[tex]f(2) = 70 \cdot 64*2= 8960[/tex]
Solving (c): The amount present after 3 days.
Here, [tex]x = 3[/tex]
So:
[tex]f(3) = 70 \cdot 64*2= 13440[/tex]
Solving (d): The inverse function of:
[tex]f(x)= 4x^2 + 4[/tex]
Replace f(x) with y
[tex]y= 4x^2 + 4[/tex]
Swap x and y
[tex]x= 4y^2 + 4[/tex]
Rewrite as:
[tex]4y^2 = x -4[/tex]
Divide by 4
[tex]y^2 = \frac{x -4}{4}[/tex]
Take square roots
[tex]y = \sqrt{\frac{x -4}{4}}[/tex]
Replace y with function inverse
[tex]f^{-1}(x) = \sqrt{\frac{x -4}{4}}[/tex]
I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!
9514 1404 393
Answer:
1. 5 seconds
2. 4.5 seconds
Step-by-step explanation:
Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.
__
1) y = -15x(x -5)
x = 5 makes the second factor zero
The golf ball is in the air 5 seconds.
__
2) y = -12x(x -4.5)
x = 4.5 makes the second factor zero
The football is in the air for 4.5 seconds.
_____
Additional comment
The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...
ax+b = 0 ⇒ ax = -b ⇒ x = -b/a
That is, once you have the factored form, you can write the solutions "by inspection."
Savannah hike 1 mile every day after Hiking on Monday she has height 102 miles after hiking on Friday how many miles will she have hike
Answer:
106
Step-by-step explanation: ts 6 9 21 30
After Monday
102 + Tuesday + Wednesday + Thursday + Friday After
102 + 1 + 1 + 1 + 1 = 106
A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to sea level?
Answer:
-415 meters
Step-by-step explanation:
As it was already -300 and it decended even more
so:
-300-`115=-415
Answer:
The answer is A, -415 meters.
Step-by-step explanation:
All right, so the key words we need here are -300, descends, and 115.
Descends means go lower, or in this case, subtract.
We are already at -300 and we descend 115, so we are going to subtract.
Subtracting a number is the same as adding the negative of that number.
-300 + -115 = -415
The answer is A, -415 meters.
Hope this helps, please mark brainliest if possible. :)
Write the percent of the figure that is shaded.
PLEASE HELP ILL GIVE EXTRA POINTS!!!
Answer:
so the total is 20 and its at ten so
10/20=5/10=1/2
so 50 percent
plzzz brainlest
I need the answer plzzzzzz
Answer:
D
Step-by-step explanation:
compare the numbers
Please help me with my math answer
Step-by-step explanation:
20 ml is your answer
i hope it helps u
Answer:
If I'm reading it correctly the answer should be 20.
To get that answer all you do is 4x5.
To rent a car Cesar must pay $15 a day plus 50 for every mile he drives. in dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
Step-by-step explanation:
1. 50x50 (because 1 mile= $50)=2500
2. 15x3 (because you need to pay 15 dollars a day)= 45
3. 2500+45= $2545
( plus tax that would be $2,875.85 IF YOUR IN CANADA )
PLEASE HELP
The function given in the table is quadratic:
True
False****
Answer:
it is true :)
10% trimmed mean please hurry
Answer:
The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%,, etc.) Example Consider the data (sample)
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
TIME REMAINING
50:38
In which triangle is the value of x equal to cos−1(StartFraction 4.3 Over 6.7 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.
Answer:
A
Step-by-step explanation:
its right
Katherine and David each improved their yards by planting roses and tulips, they bought their supplies from the same store. Katherine spent $34 on 2
pots of roses and 2 pots of tulips. David spent $74 on 2 pots of roses and 6 pots of tulips
A Write a system of equations for each person (Katherine should be one equation, and David should be another equation)
B. Which method (substitution, elimination, graphing, etc.) are you going to use to figure out how much each pot of roses and tulips cost? Explain why
C. Find the cost of one pot of rose and one pot of tulips
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
wing figures, solve for x. Complete parts (a) 80° 53
Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
hey besties, I need help
Answer:
C
Step-by-step explanation:
[tex]\frac{2}{3} (x + 2) - \frac{1}{3} (x - 2)[/tex]
First, multiply [tex]\frac{2}{3}[/tex] to [tex](x + 2)[/tex] , then [tex]\frac{1}{3}[/tex] to [tex](x - 2)[/tex], after you have done that, you would get an equation looking like this[tex]\\[/tex]:
[tex]\frac{2}{3} x + \frac{4}{3} - \frac{1}{3}x - \frac{2}{3}[/tex]
Next, add and/or subtract the fractions with the variables together and the ones without together, and that is how you get to your final answer
[tex]\frac{1}{3}x + \frac{2}{3}[/tex]
Evaluate the expression 7x for x = 2.
Answer:
Step-by-step explanation:
7x
If X=2
7(2)
=14
Which expression is equivalent to
,10 ?
4
o
O x2.2
o
o 5
Answer:
The answer is A
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
⚠️ I NEED HELP ASAP!
What is the zero of the linear function graphed below?
Answer:
(1,0)
Step-by-step explanation:
The zero of the function is where it crosses the x axis ( where y=0)
x=1 where y=0
(1,0)
The total cost
of an $82 meal
with a 20% tip
Answer:
$16.40
Step-by-step explanation:
Answer:
98.40
Step-by-step explanation:
First find the tip
82* 20%
82* .20
16.40
Add the tip to the cost of the mean
82+16.40
98.40
Write the slope-intercept form of the equation for the line.
Answer:
its 4/2 or simplified to 2/1
Step-by-step explanation:
mark me brainliest pls
I really need help or I’m gonna fail the semester
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Step-by-step explanation:
the answer is in the above image
Josh buys candy that costs $8 per pound. He will spend at most $88 on candy. What are the possible numbers of pounds he will buy?
Answer:
11 pounds
Step-by-step explanation:
You would do 88 divided by 8 to get 11
A bug starts at position (-3, -3) on the floor. It crawls along the vector (2, 6). What is the the final position of the bug on the floor? How far and in what direction did it crawl to get there?
Step-by-step explanation:
the final position = (-3+2 , -3+6) => (-1, 3)
the distance from the origin point =
√(2²+6²) = √(4+36) = √40 units or 6.3 units
the direction = tan~¹ 6/2 = 71.6°
Write the recurring decimal 0.48 a
as a fraction.
Show all your working.
Answer:
[tex] \frac{16}{33} [/tex]
Step-by-step explanation:
[tex]x = 0.48... \\ 100 \times x = 0.48 \times 100 \\ 100x - x = 48.48.. - 0.48 \\ 99x = 48 \\ \frac{99x}{99} = \frac{48}{99} \\ x = \frac{16}{33} [/tex]
What is the value of the upper quartile?
Need help ASAP! Giving Brainliest!
ok thats cool ig what do you need help with
Answer:
A
Step-by-step explanation:
Have a nice day :)
i^15 simplified please I really need help
Answer: -i
Step-by-step explanation:
i^3 is -i
15-12 = 3
